IJPAM: Volume 87, No. 3 (2013)
OF MATRICES OVER EUCLIDEAN DOMAINS AND
A GREATEST COMMON DIVISOR OF MATRICES
Department of Mathematics and Statistics
Faculty of Science
Prince of Songkla University
Hatyai, Songkla, 90112, THAILAND
Abstract. In this paper, we construct a complete residue system in the ring of 2 × 2 matrices over a Euclidean domain and use it to provide a division algorithm for matrices in order to obtain a greatest common divisor of two matrices over some Euclidean domains.
Received: May 4, 2013
AMS Subject Classification: 11A05, 15A99
Key Words and Phrases: complete residue system, greatest common divisor
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DOI: 10.12732/ijpam.v87i3.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395